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AP Physics C Equations- Mechanics Flashcards

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787733061Displacement∆x=x2-x1
787733062Average Velocityv=∆x/∆t
787733063Average Speedv=distance/∆time
787733064Constant Acceleration (w/o x)v=v₀+at
787733065Constant Acceleration (w/o v final)x = v₀t + ½at²
787733066Constant Acceleration (w/o t)v²=v₀²+2ax
787733067Constant Acceleration (w/o a)∆x=½(v₀+v)t
787733068Instant Acceleration∆v/∆t
787733069Circular Accelerationa=v²/r
787733070Newton's 2nd LawF=ma
787733071WeightW=mg
787733072Static Friction (Max)f(smax)≤µsN
787733073Kinetic Frictionf(k)=µkN
787733074Work (F isn't constant)W=∫F dx = ∆K
787733075Work (F is constant)W=Fxcosθ
787743831Force (in terms of energy)F=-dU/dt
787743832Potential EnergyU=mgh
787743833Spring Potential EnergyU=½kx²
787743834Kinetic EnergyK=½mv²
787743835Power (in terms of work)P=dW/dt
787743836PowerF ° v
787743837Center of Massx(center of mass) = m₁x₁+m₂x₂/(M total)
787743838Center of Mass Velocityv(center of mass) = m₁v₁+m₂v₂/(M total)
787743839Momentump=mv
787897717Momentum in Inelastic Collisionm₁v₁+m₂v₂=m₁m₁f+m₂v₂f
787897718ImpulseJ=∆p
787897719Impulse (Integral)J=∫F dt
787897720Angular Displacementθ
787897721Angular Velocityw=dθ/dt
787897722Angular Accelerationα=dw/dt
787897723Tangential Displacements=θr
787897724Tangential Velocityv=wr
787897725Tangential Accelerationa=αr
787897726Centripetal/Radial Accelerationa=w²r=v²/r
787897727Moment of Inertia (Integral)I=∫r²dm=∫r²λdr
787897728Inertia of HoopMR²
787897729Inertia of Disk or Cylinder½MR²
787897730Inertia of Solid Sphere(2/5)MR²
787897731Inertia of Sphere Shell(2/3)MR²
787897732Inertia of Rod(1/12)MR²
787897733Angular MomentumL=IW
787897734Angular Momentum (l)l=mrv
787897735Torquet=r x F
787897736Torque (net)t=dL/dt=Iα
787897737Rotational Kinetic EnergyK=½Iw²
787897738Rolling Velocity Center of Massv=wR
787897739Rolling EnergyK=½Iw²+½mv²
787897740Work (Angular)W=∫t ° dθ = ∆K
787897741Power (Angular)P=dW/dt= r ° w
787897742Gravitational Potential EnergyU=-GMm/r
787897743Gravitational Kinetic EnergyK=GMm/2r
787897744Total Gravitational EnergyE=U+K=-GMm/2r
787897745Escape Velocityv=√2GM/r
787897746Newton's Universal Law of GravitationF=GMm/r²
787897747Newton's Law of Gravitation (inside planet)F=GMmr/R³
787897748Definition of Simple Harmonic Motiona=-w²x
787897749Definition of Simple Harmonic Motion (Angular)α=-w²θ
787897750Simple Harmonic Motion Equation (distance)x=Acos(wt+∅)
787897751Frequencyf=1/T=w/2π
787897752Period of Oscillation in SpringT=2π√m/k
787897753Spring Velocity (Oscillation)w=√k/m
787897754Period of a PendulumT=2π√L/g

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